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Search: id:A007466
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| A007466 |
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Exponential-convolution of natural numbers with themselves.
(Formerly M3478)
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+0
3
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| 1, 4, 14, 44, 128, 352, 928, 2368, 5888, 14336, 34304, 80896, 188416, 434176, 991232, 2244608, 5046272, 11272192, 25034752, 55312384, 121634816, 266338304, 580911104, 1262485504, 2734686208, 5905580032, 12717129728
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210.
N. J. A. Sloane, Transforms
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FORMULA
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E.g.f.: (Sum_{n >= 1} n*x^(n-1)/(n-1)!)^2.
a(n) = Sum{k=0..(n+2), Binomial(n+2, k)*[floor(k/2)]^2 } - Paul Barry (pbarry(AT)wit.ie), Mar 06 2003
E.g.f.: (1+x)^2*exp(2*x). - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 09 2003
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MAPLE
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n->2^n*(n+1)+1/4*2^n*n*(n-1);
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CROSSREFS
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Sequence in context: A084613 A099063 A057223 this_sequence A062109 A118042 A006645
Adjacent sequences: A007463 A007464 A007465 this_sequence A007467 A007468 A007469
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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